1 Answer
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This must be impossible, even for lady Castafiore with her earthquake voice. For a glass to break by sheer sound you need to produce a tone equal to the glass's natural frequency - the frequency at which a body vibrates with the least amount of energy. In other words: there you get the most vibration with a minimum of effort. This is also called resonance.

However, it is much harder to create resonance in mixed materials because each component has a different fundamental frequency. So two layers of different types of glass will effectively prevent resonance.

Of course, apart from that the mere thickness of the material will be a problem for our Nightingale.